On a Class of Symplectic Similarity Transformation Matrices

Details On a Class of Symplectic Similarity Transformation Matrices On a Class of Symplectic Similarity Transformation Matrices

2002-02-24

arxiv.org/abs/math/0202250v1

Mathematics

Rings and Algebras

submitted to ELA for publication

Scientific paper

We present a class of symplectic matrices which transform by similarity given
$2n\times 2n$ -dimensional matrix into Bunse-Gerstner form. If the given matrix
is skew-Hamiltonian, the transformation gives a solution of an antisymmetric
Riccati matrix equation, resulting from optimal control of linear systems.

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